Common Core Grade 7
The following information is derived from the Ohio Department of Education, Mathematics Common Core Standards (2011).

The concentration in 7th math grade focuses on four areas: (Domains -> Clusters)

1. Understanding and Application of proportions.
   • Percentage, Discounts, interest, taxes, tips, % increase or decrease
   • Similar objects (similar triangles, polygons, etc...)
   • Understanding/Graphing proportional and inverse relationships, slope
2. Rational Numbers, Expressions and Linear equations.
   • Fractions/Decimals/Percents are representations of rational numbers
   • Extend addition, subtraction, multiplication and division to all rational numbers
   • Negative numbers (real world quantities, i.e. amount owed, temperatures below zero, etc...)
   • Use of rational numbers and expressions to formulate equations in one variable.
3. Problem Solving w/Scale drawings, 2-D, and 3-D shapes to analyze area, surface area and volume.
4. Data analysis (inferences about populations based on samples).

Example

Domain: Expressions and Equations - 7.EE
Cluster: Use properties of operations to generate equivalent expressions.
Standard: 1) Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

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Ratios&Proportions	Number System	Expressions/Equations	Geometry	Statistics/Probability	Mathematical Practices
Proportional relationships Real world problems	Adding, subtracting, multiplying, and dividing rational numbers	Generate equivalent expressions Numerical and algebraic expressions	Draw, construct, describe geometrical figures Angle measure, area, surface area, volume	Random sampling of a population Chance and probability	Solve problems accurately Reasoning Modeling Using tools

Example

Grade 7 - Number System

Here, you will see an educator explain the concept of adding rational numbers.